It will take some more information or pictures to narrow this down since all three of those canoes are 18 feet long. Is the serial number in the other end more clear? Does it have half ribs, outside stems, or a floor rack? Are the decks, seats, and thwarts maple, birch, or mahogany? My guess is that you have 36965. This is an 18 foot long, CS (Common Sense or middle) grade, HW model with red western cedar planking, open spruce gunwales, birch decks, birch thwarts, birch seats, and a keel. It was built between February and March, 1915. The original exterior paint color was dark green. It shipped on May 3rd, 1915 to Philadelphia, Pennsylvania. A scan showing this build record can be found below.
This scan and several hundred thousand more were created with substantial grants from the Wooden Canoe Heritage Association (WCHA) and others as you probably know well. A description of the project to preserve these records is available at
http://www.wcha.org/catalogs/old-town/records/ if you want more details. I hope that you will donate, join or renew your membership to the WCHA so that services like this can continue. See
https://www.woodencanoe.org/about to learn more about the WCHA and
https://www.woodencanoe.org/shop to donate or join.
It is also possible that this canoe could have another number or manufacturer if this description doesn't match. Feel free to reply here if you have any other questions.
Benson